查询词典 symmetries

The main purpose of this dissertation is to study the problems of symmetries and conserved quantities of controllable nonholonomic systems and mechanico-electrical dynamical systems, based on the invariance of the Hamilton action under the infinitesimal Lie group transformation.

本文基于Hamilton作用量在无限小Lie群变换下的不变性，研究可控非完整系统与机电动力系统的对称性和守恒量问题。

Several non-isolated-pentagon structures of low symmetries are found to have low energies close to the most stable isomer.

并且一些较低对称性的非IPR异构体也拥有与最低能量接近的较低能量。

This volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner.

这卷涉及在一个数学物理学的线的第2 命令的偏微分方程的对称性之间的关系，坐标系统，方程式通过变量分离和如此出现的特殊函数的特性承认解决办法。

In this thesis, we mainly discuss the potential symmetries and linearization of the nonlinear evolution equations.

本论文主要研究非线性发展方程组及单方程的势对称以及它们的线性化。

By means of symmetries, we give a sufficient and necessary condition of general linearization.

利用对称性给出了非线性系统一般线性化的充要条件。

Like the mandala, knot designs are by definition rich in symmetries.

像曼荼罗一样，结设计是依照对称性方面丰富的解读。

It is concluded that the nonclassical symmetries of the nonlinear partial differential equations can be derived by using the compatibility between the original equation and the invariant surface condition.

由此，得到了利用不变条件及初始方程的相容性也可求得非线性偏微分方程的非古典对称的决定方程的重要结论。

Chapter 4 mainly deals with the mechanical calculation of determine equations associated with classical and nonclassical Lie symmetries for differential equation.

第四章考虑微分方程对称确定方程组的机械化计算。

As long as the system of first order polynomial DDEs in (1+1)-dimensions is given, no matter whether a single equation or the coupled equation, CLawDDEs can automatically output the scaling symmetries of the variables and a series of possible polynomial conservation laws for different rank.

只要输入多项式形式的等秩DDE，无论是单个方程还是耦合方程组，CLawDDEs都能自动确定变量的标度变换特性和不同秩的多项式守恒律。

The application of the method can also be extended for the textured materials with other sample symmetries in addition to orthorhombic symmetry.

所述方法可适用于任何晶体结构对称的织构材料及三维应力状态，并可推广至正交对称外的其他试样对称的织构材料。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。